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Scale 1633

Scale 1633, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,9,10}
Forte Number5-Z18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 205
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 179
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1633 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 179
Scale 179, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2137
Scale 2137, Ian Ring Music Theory
4th mode:
Scale 779
Scale 779, Ian Ring Music Theory
5th mode:
Scale 2437
Scale 2437, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 179

Scale 179Scale 179, Ian Ring Music Theory

Complement

The pentatonic modal family [1633, 179, 2137, 779, 2437] (Forte: 5-Z18) is the complement of the heptatonic modal family [755, 815, 1945, 2425, 2455, 3275, 3685] (Forte: 7-Z18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1633 is 205

Scale 205Scale 205, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1633 is chiral, and its enantiomorph is scale 205

Scale 205Scale 205, Ian Ring Music Theory

Transformations:

T0 1633  T0I 205
T1 3266  T1I 410
T2 2437  T2I 820
T3 779  T3I 1640
T4 1558  T4I 3280
T5 3116  T5I 2465
T6 2137  T6I 835
T7 179  T7I 1670
T8 358  T8I 3340
T9 716  T9I 2585
T10 1432  T10I 1075
T11 2864  T11I 2150

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic
Scale 1649Scale 1649: Bolimic, Ian Ring Music TheoryBolimic
Scale 1601Scale 1601, Ian Ring Music Theory
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 1569Scale 1569, Ian Ring Music Theory
Scale 1697Scale 1697: Raga Kuntvarali, Ian Ring Music TheoryRaga Kuntvarali
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 609Scale 609, Ian Ring Music Theory
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 3681Scale 3681, Ian Ring Music Theory

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.